Why and How to Reduce Fractions Into Their Lowest Terms?
Before attempting to engage in dividing fractions, it is of the upmost importance that one be familiar with multiplying fractions. Multiplying is by far the most simplistic operation to perform on a set of fractions, and it really does not matter at all how many are involved; the process is still the same.
To engage in multiplying fractions, simply multiply the numerators by each other and multiply the denominators by each other. Unlike adding fractions, there is no need to equalize the denominators before multiplying how to divide fractions.
A little note about how multiplying fractions might come up in a word problem: The word "of" generally suggest that it might be time to multiply in a word problem. Consider this example: Jimmy ate three quarters of the bag of apples. There were twenty apples in the bag. How many apples did Jimmy eat? In this example, you would multiply 3/4 by the quantity 20 (the answer is 15 apples).
Dividing fractions is very similar to the process described above. The only real difference is that you must be careful to take the reciprocal of the second fraction before multiplying them together. Taking the reciprocal simply means that you flip it over so that the numerator is the new denominator and the denominator is the new numerator. Thus, in practice, (3/4)/(1/7)=(3/4)*(7/1)=(3*7)/(4*1)=21/4. Therefore, if someone asks you how many sevenths there are in three fourths or something similar, you'll know what to do.